Some inequalities on the inradii of a simplex and of its faces (Q1914050)
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scientific article; zbMATH DE number 883875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some inequalities on the inradii of a simplex and of its faces |
scientific article; zbMATH DE number 883875 |
Statements
Some inequalities on the inradii of a simplex and of its faces (English)
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2 June 1996
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The authors give two interesting inequalities between the inradius of an \(n\)-dimensional simplex and those of \(n - 1\)-dimensional faces. As application, they prove some inequalities that connect the \(n\)-volume of a simplex and the \(n - 1\)-volumes of faces.
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volume
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inequalities
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inradius
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\(n\)-dimensional simplex
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faces
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0.9437086
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0.91937757
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0.91022116
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